Word Problem; The wolf population P in a certain state

[killasnake]

The wolf population \(\displaystyle P\) in a certain state has been growing at a rate proportional to the cube root of the population size. The population was estimated at 1000 in 1980 and at 1700 in 1990.

Find the differential equation for \(\displaystyle P(t)\) and the corresponding conditions. (Instruction: Use \(\displaystyle C\) for the constant of proportionality.)

\(\displaystyle dP/dt =\) ________

\(\displaystyle P(\)___\(\displaystyle )\)= _____ and \(\displaystyle P(\)____\(\displaystyle )\) = ______

b) Solve your differential equation.

\(\displaystyle P =\)

c) When will the wolf population reach 4000?

The population will reach 4000 by the year _______

I have no idea how to do this and where to start, I am totally lost could someone help.

 

[tkhunny]

\(\displaystyle \L\frac{dP}{dt} = C*P^{1/3}\)

Ringing any bells?

 

[killasnake]

I think so, I'm goign to try to work it out..